The top of the slide is 12 feet from the ground and has an angle of depression of 53 degrees. What is the length of the slide? Round your answer to the nearest whole number. please help!!!

19.9396816935

Step-by-step explanation:

You know that the height of the slide is 12, and the angle of depression is 53. Then, if you draw that out, you see that the cosine of those 53 degrees would be the 12 divided by the hypoteneuse, which in this case is the length of the slide. Thus you get the equation, cos(53)=12/x. Then you solve this algebraically and end up getting 12/cos(53), which is equivalent to 19.9396816935.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.